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COMMENTS
| 1. We may never know if a(n) is defined for all n. 2. We split up the digits of any number > 9 in the pattern, e.g. if n = 11, we search for the pattern "1,2,3,4,5,6,7,8,9,1,0,1,1". 3. The pattern "1,2,3,4,5" does not occur before the 100,000-th term in the digit sequence of e.
It appears that a(7) > 5000000. - Rick L. Shepherd (rshepherd2(AT)hotmail.com), Aug 21 2002
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MATHEMATICA
| p = ToString[N[E, 100000]/10]; t = {1, 12, 123, 1234}; g[n_] := StringPosition[p, ToString[n]][[1]][[1]] - 2; Table[g[t[[i]]], {i, 1, 4}]
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